21059147970000 has 1800 divisors, whose sum is σ = 91146599108136. Its totient is φ = 4508614656000.

The previous prime is 21059147969947. The next prime is 21059147970053. The reversal of 21059147970000 is 7974195012.

21059147970000 is a `hidden beast` number, since 2 + 10 + 591 + 47 + 9 + 7 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21059147969947) and next prime (21059147970053).

It can be written as a sum of positive squares in 20 ways, for example, as 7747916786064 + 13311231183936 = 2783508^2 + 3648456^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 19267289454 + ... + 19267290546.

Almost surely, 2^{21059147970000} is an apocalyptic number.

21059147970000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21059147970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45573299554068).

21059147970000 is an abundant number, since it is smaller than the sum of its proper divisors (70087451138136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21059147970000 is a wasteful number, since it uses less digits than its factorization.

21059147970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 21059147970000 in words is "twenty-one trillion, fifty-nine billion, one hundred forty-seven million, nine hundred seventy thousand".